Area and Perimeter interactive exercise for 7th - Free Printable

Here's the complete solution to all 10 problems, with clear explanations for each:

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1) Calculate the Area and Perimeter (Square)
Given: Side = 5 m

- Area of square = side × side = 5 m × 5 m = 25 m²
- Perimeter of square = 4 × side = 4 × 5 m = 20 m

✔ Answer:
Area = 25 m²
Perimeter = 20 m

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2) Calculate Area and Perimeter (Rectangle)
Given: Length = 12 ft, Width = 7 ft

- Area of rectangle = length × width = 12 ft × 7 ft = 84 ft²
- Perimeter of rectangle = 2 × (length + width) = 2 × (12 + 7) = 2 × 19 = 38 ft

✔ Answer:
Area = 84 ft²
Perimeter = 38 ft

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3) Calculate the Area (Parallelogram)
Given: Base = 19 in, Height = 15 in

- Area of parallelogram = base × height = 19 in × 15 in = 285 in²

✔ Answer:
Area = 285 in²

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4) Calculate the missing angle (Triangle)
This is a triangle with base = 16 ft and height = 11 ft. But the question says “Calculate the missing angle” — however, no angles are given, and it’s not a right triangle labeled as such. But looking at the diagram, it appears to be an isosceles triangle with height drawn to the base.

Actually, rereading: The label says “Calculate the missing angle”, but then it also says “Area ft²” — this seems like a mislabeling. Since the problem asks for “missing angle” but gives no other angles, and the diagram shows only base and height, it’s likely a mistake — perhaps they meant to ask for area, since area is listed next to it.

Assuming it’s asking for area (since angle cannot be found without more info):

- Area of triangle = ½ × base × height = ½ × 16 ft × 11 ft = 88 ft²

If it really meant angle — we can’t find it without more data. So based on context, area is intended.

✔ Answer:
Area = 88 ft²

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5) Calculate the missing angle (Triangle)
Given: Two angles = 66° and 58°

- Sum of angles in any triangle = 180°
- Missing angle = 180° – 66° – 58° = 56°

✔ Answer:
Missing angle = 56°

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6) Calculate the Area (Trapezoid)
Given: Bases = 18 in and 40 in, Height = 11 in

- Area of trapezoid = ½ × (sum of bases) × height
= ½ × (18 + 40) × 11 = ½ × 58 × 11 = 29 × 11 = 319 in²

✔ Answer:
Area = 319 in²

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7) What is the area of a square whose side is equal to 7 yds?

- Area = side² = 7 yd × 7 yd = 49 yd²

✔ Answer:
Area = 49 yd²

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8) What is the perimeter of a rectangle with a length of 10.2 m and length of 12.8 m?

⚠️ This is likely a typo — probably meant “length of 10.2 m and width of 12.8 m”.

Assuming that:

- Perimeter = 2 × (length + width) = 2 × (10.2 + 12.8) = 2 × 23 = 46 m

✔ Answer:
Perimeter = 46 m

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9) What is the area of a parallelogram with a height of 13 in and base of 16 in?

- Area = base × height = 16 in × 13 in = 208 in²

✔ Answer:
Area = 208 in²

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10) What is the area of a triangle with a base of 18 ft and height of 13 ft?

- Area = ½ × base × height = ½ × 18 × 13 = 9 × 13 = 117 ft²

✔ Answer:
Area = 117 ft²

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## ✔ Final Answers Summary:

1. Area = 25 m², Perimeter = 20 m
2. Area = 84 ft², Perimeter = 38 ft
3. Area = 285 in²
4. Area = 88 ft² *(assuming typo — angle not computable)*
5. Missing angle = 56°
6. Area = 319 in²
7. Area = 49 yd²
8. Perimeter = 46 m
9. Area = 208 in²
10. Area = 117 ft²

Let me know if you want diagrams or step-by-step visuals for any problem!